Conservative Realizations of Herglotz-Nevanlinna Functions
| Autor: | Arlinskii, Yuri Belyi, Sergey Tsekanovskii, Eduard |
|---|---|
| EAN: | 9783764399955 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 548 |
| Produktart: | Gebunden |
| Veröffentlichungsdatum: | 23.06.2011 |
| Schlagworte: | Mathematik / Physik, Chemie |
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This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems. The main feature of the monograph is a new approach to the realization theory profoundly involving developed extension theory in triplets of rigged Hilbert spaces and unbounded operators as state-space operators of linear systems. The connections of the realization theory to systems with accretive, sectorial, and contractive state-space operators as well as to the Phillips-Kato sectorial extension problem, the Krein-von Neumann and Friedrichs extremal extensions are provided. Among other results the book contains applications to the inverse problems for linear systems with non-self-adjoint Schrödinger operators, Jacobi matrices, and to the Nevanlinna-Pick system interpolation.
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